Three specialists can complete in 1 hour the job their 5 assistants usually do in 1 hour. Suppose eight specialists can complete a certain job in 9 hours. How many assistants can complete the same job in 10 hours?

Answers

Answer 1

Answer:

12 Assistants

Step-by-step explanation:

If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.

So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.

40/3 Assistants - 9 hours - 1 job

X Assistants   -  10 hours - 1 job

Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.

The number of assistants needed will be 40/3  divided by 10/9 which is

40/3 * 9/10 = 12.


Related Questions

Wendy works at a kite shop. Yesterday she made 2 large kites and one small kite, using 16 square yards of nylon fabric. The day before, she used 9 square yards of nylon fabric to make 1 large kite and 1 small kite. How much nylon does Wendy need to make each size kite?

Write a system of equations to describe the situation and solve using elimination. (use x for a large kit and y for a small kite)

Answers

Answer:

x=7 and y =2.

2x+y = 16

x+y = 9

Help will be much appreciated...

Answers

Answer:

conclusion statement four sentences about you and exothermic heat was realised or absorbed it was changed beacsue positive 9r negative.

Simplify the expression to a polynomial in standard form: (4x-3)(3x^2-2x+1)

Somebody please help

Answers

Answer:

[tex] {12x}^{3} - 17x^{2} + 10x - 3[/tex]

An electric utility worker wants to anchor a guy wire from the top of a 13.2-foot utility pole to a spot that is 5.5 feet from the base of the pole on level ground. How long does the guy wire need to be?

Answers

Answer:

a^2+b^2=c^2

Step-by-step explanation:

13.2^2+5.5^2=c^2

204.49=c^2

sqrt(204.49)=14.3

Susan has $65 in her savings account. Her friend coco has &119 in her savings account. Susan plans to add $23 per week. How many weeks until both friends have the same amount saved ?

Answers

Answer:

After 10 weeks, Susan will have $295 and CiCi will have $259.

Step-by-step explanation:

Susan: y= 65+23x

CiCi: y = 119+14x

65+23(6)=203

119+14(6)=203

After 6 weeks, Susan and CiCi will both have $203 in their accounts.

65+23(10)=295

119+(14)(10)=259

Therefore, After 10 weeks, Susan will have $295 and CiCi will have $259.

a box of cookies weighing 4kg was divided into 6 equal shares.

Answers

Answer:

0.67

Step-by-step explanation:

that is 4 divided by 6

your answer is 0.6666666

it's a recurring decimal

or 0.67

Does this represent a linear relationship or
exponential relationship?
Input Output
3 5
4 7
5 9
6 11


Answers

Answer:

It represents a linear relationship

Step-by-step explanation:

Linear relationship:

- constant change in x and y

Exponential relationship:

- constant change in x

- constant ratio of y

We see that 3, 4, 5, and 6 are a constant change in x as it's going up by +1.

It also has a constant change of y +2.

You move up 5 units and down 3 units. You end at (2, 0). Where did you start?

Answers

Answer:

(0,0)

Step-by-step explanation:

Do the opposite. (2-5+3,0) is (0,0)

HELPP QUICK PLEASE please

Answers

Hi! I hope you're enjoying your day!

Please remember that an arithmetic sequence is a sequence where we use either addition or subtraction to get to the next term.

Now, let's find an arithmetic sequence here.

Is it Option A?

Remember: It should have a common difference of 2.

Which means we either add or subtract 2 to get to the next term.

Well, it seems like Option A is right.

Let's check the other options.

Is Option B right? Nope.

Here's why.

Hint: Pay attention to the signs.

We have

1, -3, 5, -7, 9...

So Option B is wrong.

Option C is correct, because we subtract 2 each time.

Option D is wrong, because we multiply by 2 each time.

Hence, the right options are

[tex]\boxed{\boxed{\bold{Options~A~and~C.}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Z is the centroid of UVW

Z is the intersection of the triangle's ______

A. Medians
B. altitudes
C. angle bisectors
D. perpendicular bisectors

Answers

Answer: A

Step-by-step explanation:

The intersection point of the medians of a triangle is defined to be the centroid.

The solution is Option A.

The centroid of the triangle UVW is the intersection of the medians of the triangles

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as UVW

Now , the median of the triangle from U is given by

The measure of WY = The measure of YV

The median of the triangle from W is given by

The measure of UX = The measure of XV

And , the point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians

So , median is a line that joins the midpoint of a side and the opposite vertex of the triangle

Hence , the point Z is the intersection of the triangle's medians

To learn more about triangles click :

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Suppose that y varies directly as the square root of X, and that y = 45 when x = 225. What is y when x = 127 Round your answer to two decimal places if
necessary

Answers

Answer:

y=381

Step-by-step explanation:

given: y=45  x=225

y=kx

45=k√(225)

45=k(15)

45=15k

45/15=15k/15

3=k

given: x=127  k=3

y=kx

y=3(127)

y=381

In a quadrilateral OABC, D is the midpoint of BC and E is the point on AD such that AE : ED=2: 1. Given that OA = a, OB = b and OC = c, express OD and OE in terms of a, b and c.​

Answers

Answer:

Step-by-step explanation:

CB=OB-OC;

CD=CB/2=(OB-OC)/2=(b-c)/2;

OD=OC+CD=c+(b-c)/2=c/2+b/2;

AD=OD-OA=c/2+b/2-a;

AE=2/3*AD=2/3*(c/2+b/2-a)=c/3+b/3-2*a/3;

OE=OA+AE=a+c/3+b/3-2*a/3=a/3+b/3+c/3;

-------------------------------------------------------------------------------------------------

OD=c/2+b/2;

OE=a/3+b/3+c/3;

The value of OE = (a+ b+ c)/3 and OD = (b + c)/2.

In quadrilateral OABC, we are given that D is the midpoint of BC,

and E is a point on AD such that AE : ED = 2 : 1.

Also, OA = a, OB = b and OC = c

Now, By the Midpoint Theorem, we also have

OD = (1/2)OB + (1/2)OC.

OD = (1/2)(OB + OC)

OD = (1/2)(b + c)

OD = (b + c)/2.

and, CD= (OB- OC)/2 = (b-c)/2

Now, AD=OD-OA= (c+b)/2 - a

and, AE=2/3 x AD

= 2/3 x (c+ b)/2 - a

= (c + b - 2a)/3

Then, OE = OA + AE

= a + (c + b - 2a)/3

= (a+ b+ c)/3

Learn more about Mid point theorem here:

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Find the value of x, y and z. ​

Answers

Answer:

Step-by-step explanation:

here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct​

Answers

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10


If we divide the polynomial P by the factor x - c and we
obtain the equation P(x) = (x – c)Q(x) + R(x), then we say
that x - c is the divisor, Q(x) is the
and R(x) is
the

Answers

Hello

Step-by-step explanation:

hello I'm Filipino people

Find the value of x.

Answers

Answer:

These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x

Step-by-step explanation:

The table shows Avery’s net worth statement.

Net Worth Statement. Item; Value. Bank accounts; $3,900; Car (current value); question mark; Credit card debt; negative $2,950; Real estate; $37,425; Student loans; negative $1,700; Investments; $4,600.

Avery’s net worth is $53,755. Based on the information in the table, what is the current value of Avery’s car?

Answers

The current value of Avery’s car is $12,480.

Current value

First step is to calculate the Net Worth

Bank accounts    $3,900

Credit card debt ($2,950)

Real estate         $37,425

Student loans    ($1,700)

Investments        $4,600

Net worth           $41,275

Second step is to calculate the current value of Avery’s car

Current value=$53,755-$41,275

Current value=$12,480

Inconclusion the current value of Avery’s car is $12,480.

Learn more about current value here:https://brainly.com/question/15904086

Translate the triangle.
Anyways but I’ve been on this question for about 20 minutes because I can’t find the answer anywhere.

Answers

Answer:

A: (2,2) B: (3,-1) C: (-1,0)

Step-by-step explanation:

Change the coordinates of each point using the given translation. So 2 left 3 up.

Can you help with this question I will give you 10 points

Answers

Answer:

The elevation of University Peak could be 14,464, which in between the two mountains.

Answer:

It's shorter than Mt. Massive but it's shorter than Mt. Alverstone.

The number between 14,500 and 14,428 is 14464, that would be a great guess

When x=5, the value of the expression 20/-25+x-2(x-10)is

Answers

The answer is -2.8 because I used P.E.M.D.A.S and that’s what it gave lol

Can someone please help me out?

Answers

Answer:

Step-by-step explanation:

21​% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is​ (a) exactly​ two, (b) more than​ two, and​ (c) between two and​ five, inclusive.

Answers

Answer:

[tex]\left(a\right)\ 21.066\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left(b\right)\ 66.872\\ \left(c\right)\ 81.567[/tex]

Step-by-step explanation:

[tex]\left(a\right)\ P\left(2\right)=C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(1-32)^{10-2}\\ =C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(68)^8=0.21066=21.066[/tex] [tex]percent[/tex]

[tex]cb)\ P(x > 2)=P(x\le2)=1-(P(x=0)+P(x=1)+P(x=2))\\ =1-C^{\begin{matrix}0\\10\\\end{matrix}}(0.32)degrees(0.68)^{10}-C^{\begin{matrix}1\\10\\\end{matrix}}(0.32)\prime(0.68)^9-C^{\begin{matrix}1\\0\\\end{matrix}}(008)(66)^9\\ =1-0.02114-0.09948-0.21066\\ =0.66872=66.872\\[/tex]

[tex](C)\ \ \ \ \ P(2\preccurlyeq[/tex] [tex]5)=P(2)+P(3)+P(4)+P(5)5)=P(2)+P(3)+P(4)+P(5)[/tex]

[tex]=C^{\begin{matrix}2\\10\\\end{matrix}}(0.32)^{)^2}\bullet(0.68)^3+C^{\begin{matrix}3\\10\\\end{matrix}}(0.32)^3\bullet(0.68)^7+C^{\begin{matrix}4\\10\\\end{matrix}}(0.32)^4\bullet(0.68)^6+C^{\begin{matrix}5\\10\\\end{matrix}}\bullet(0.32)^5\bullet(0.65)^5)[/tex]

[tex]=0.2186+0.26436+0.21771+0.12294\\ =0.81567=81.567 percent[/tex]

[tex](binomial\ distribution)[/tex]

I hope this helps you

:)


Use trigonometric rates to find the missing angle.

Answers

Answer: 61.93 degrees
Because the two sides are the hypotenuse and adjacent of the angle, use cosine to figure out x! cosine is CAH (cosine= adjacent/hypotenuse) so you would do cosx-1=8/17 on the calculator which is around 62 degrees.

Answer:

Step-by-step explanation:

Shoes sold at the Shoe Express are discounted 25% off the original price. If a pair of shoes originally cost $46, calculate the sale price of the shoes

Answers

Answer:

$34.50

Step-by-step explanation:

$46*.25 = $11.50

$46 - 11.50 = $34.50

Solution:

We know that:

Discounted price: Original price - (Original price × Discount)Original cost of a pair of shoes: $46Discount: 25%

This means that:

Sale price of a pair of shoes: 46 - (46 × 25%)

Step-1: Convert "25%" into a fraction.

25% = 25/100 = 1/4

Step-2: Find the discounted price.

Sale price of a pair of shoes: 46 - (46 × 1/4)Sale price of a pair of shoes: 46 - (23/2)Sale price of a pair of shoes: 46 - 11.5Sale price of a pair of shoes: $34.5

RJ has two loans. Loan H has a nominal rate of 5.68%, compounded daily. Loan I has a nominal rate of 6.33%, compounded monthly. Which loan's effective rate had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan?
a.
Loan I’s increase was 0.03 percentage points greater than Loan H’s.
b.
Loan I’s increase was 0.68 percentage points greater than Loan H’s.
c.
Loan H’s increase was 0.16 percentage points greater than Loan I’s.
d.
Loan H’s increase was 0.49 percentage points greater than Loan I’s.

Answers

Answer:

The correct answer for this question is:

The loan's effective rate that had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan is that 'loan H’s increase was 0.16 percentage points greater than Loan I’s.

Step-by-step explanation:

Answer:

A: Loan I’s increase was 0.03 percentage points greater than Loan H’s.

If Jose earned 145.60 for 7 hours, how many hours would he have to work to earn $83.20?

Answers

Answer:

4 hours

Step-by-step explanation:

Each hour: 145.60/7 = 20.80

83.20/20.80 = 4

Question 7 of 10
What is the solution to this equation?
3(4x+3) = 2x - 5(3 - x) + 2
4
O A. x=-
15
10
O B. x=-22
O
5
O x-
O c. x - 22
15
O x
O D. x = -1
5

Answers

Answer:

Option B

Step-by-step explanation:

Given Equation :

[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]

Using distribute property:

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]

Adding the like terms we get :

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]

Transposing the variables on the right side and constant terms on the left side :

[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]

[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]

Dividing both sides by 5 :

[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]

[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]

The function H
gives the height, above the ground, of a point on a spinning wheel. The function A gives the height of a point on a different spinning wheel and is defined by
A(t)=1.2H(3t). Here, t is time in seconds since the wheels started moving. How does the spinning wheel modeled by function A compare to the wheel for H
? Explain how you know.

Answers

The expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2.

Functional analysis for the model of the height of the wheel

The model of the height is represented by the following sinusoidal model:

[tex]H(3t) = D \cdot \sin [B(3t)+E][/tex] (1)

Where:

[tex]D[/tex] - Amplitude[tex]B[/tex] - Angular frequency[tex]E[/tex] - Phase angle

Then, the expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2. [tex]\blacksquare[/tex]

To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/22467963

Each equation below is followed by several stories.
Select all of the stories that can be represented by the equation.
If none of the stories can be represented, select "None of the above".

(a)x+11=44

Answers

Forming Algebraic Expressions From a Story

Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

"Younger" or "older" connotes to subtraction from the age of the older person. It can also connote to the addition to the age of the younger person."Years ago" typically connotes to the subtraction of x years from the person's current age."More years" typically connotes to the addition of x years to the person's current age.

Solving the Question

Let's take a look at our first option.

Yousif is x years old. Rana is 44 years older than Yousif. Rana is 11 years old.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

Rana is x years old. in 11 more years, she will be 44 years old.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

[tex]x+11[/tex]

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

[tex]x+11=44[/tex]

This is our final expression. It is the same as the given expression in the question.

Answer

Rana is x years old. in 11 more years, she will be 44 years old.

How can you calculate the area of the circle if know the circle’s circumference.

Answers

Answer:

dont cheat

Step-by-step explanation:

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